MATH 311.503, Spring 2008 –
Topics in Applied Mathematics, I

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Below you will find information for Math 311, Section 503. I will attempt to keep this webpage updated. If I'm getting too far behind, you can encourage me to catch up. This is a multi-section course, all of which follow loosely the department-provided calendar and syllabus. Students in sections other than 503 should quiz their instructor before using me as a resource.
Announcements Assignments


Course Information
Office Hours
Monday 11:00AM--12:00PM, Blocker Room 641G
Thursday 1:30PM--2:30PM, Blocker Room 641G
Class Times & Locations
Tuesday/Thursday 8:00--9:15AM, Zachary Room 105C
Syllabus, Resources, Etc.
In the syllabus you will find our class contract: what the goal of the course is; what I plan to cover; suggested homework problems; how I plan to assign grades; etc. version)
In the course outline, I list the tentative schedule for each lecture. This page will be updated throughout the semester.
A word on academic honesty: if you are having trouble in this course, you are encouraged to come to office hours, or to work in groups. You are not encouraged to copy. The prudent student will take the time to learn the difference.
A list of errata for the course textbook: Williamson, R.E., Trotter, H.F., Multivariate Mathematics, 4th ed. (2004), Prentice Hall, Upper Saddle River, NJ.
I suggest you work many of these book exercises.



Announcements
(04/22/08)  Here are solutions to the midterm exams. Bring your questions on Thursday.
examI;     examII;     examIII;     examIV.
(03/07/08)  Third midterm moved to March 27th from March 25th. Content will still be 3.3--3.7B.
(02/26/08)  2nd midterm results are disasterous. Check your email for an explanation of what I want you to do with this file.
(02/14/08)  2nd midterm rapidly approaching!!! On Thursday, February 21, you will be expected to demonstrate mastery of sections 2.3--2.5 & 3.1--3.3.
(01/29/08)  The syllabus you have is now inaccurate. Please make note of the my new office hours (listed above).
(01/03/08)  Finally started to populate this page. Stay tuned...


As outlined in the "course syllabus" above, homework is due at the beginning of class on the dates indicated below. No late homework will be accepted, but only the best 10 scores will be kept when considering your final grade for the course.

Assignments
List of errata Suggested Problems
Due Material
Apr 24 14.10: (p.727): 5*, 21, 30

* := Give a plot of your solution. It should be a 2D plot with x and t as the variables. Obviously, you can't type out an infinite sum, so just take the first few terms (3? 10? you decide). Pick whatever positive number you want for your constant `a`.
Apr 15 14.7: (p.705): 4*, 5, 8;
14.8: (p.712): 3, 4, 5, 22, 32;
14.9: (p.720): 2, 16**

* := This one warrants a hint. Don't let me forget to give it to you.
** := See the instructions before exercise groups 4--9 and 10--15 to understand what is being asked for in (a) and (b).
Apr 08 14.5: (p.695): 19, 22, 32;
14.6: (p.698): 2, 4, 6, 7, 8
Apr 01 3.7: (p.167): 11--17
Mar 25 3.6: (p.154): 14, 16;
3.7: (p.158): 2, 4, 6, 13;   (p.167): 2, 4
Mar 20 3.6: (p.148):  5, 6, 9, 10, 17;    (p.154):  3, 5, 10, 16;
Chapter 3 Review: (p.172):  5, 7, 20
Mar 4 3.4: (p.130):  10, 12, 13, 17, 18, 20;
3.5: (p.137):  4, 14, 27, 32, 38, 40; (p.142):  2, 9*; (p.171):  3**

* := don't do it abstractly. Choose three vectors at random in R^5 (don't choose any e_i's!!) then find a 2x5 matrix with these three vectors in the nullspace.
** := show your work.
Feb 21 3.1: (p.110):  17, 33*;
3.2: (p.118):  3, 4, 10, 11, 24, 26, 38, 39**, 40;
3.3: (p.125):  6–8, 13, 15, 17, 22, 24, 32;
3.4: (p.110):  21***

* := bonus;   **:= the example/answer in the back of the book won't be accepted;   ***:=bonus
Feb 14 2.5: (p.98):  2, 4, 6, 8, 18, 23, 24;
3.1: (p.110):  4, 8, 12, 19, 32;
extra problems
Feb 05 2.2: (p.69):  24;   (p.73):  4, 10
2.3: (p.80):  10, 18, 37, 40, 47*, 50*;
2.4: (p.86):  6, 10, 22, 27, 30(for #27), 33*, 34

* := bonus
Jan 29 2.1: (p.51):  6, 10, 12, 14, 18;   (p.58):  6, 8, 18;
2.2: (p.69):  13, 20, 24*, 30;   (p.73):  4*, 10*, 12

(you may omit the "*"ed problems)
Jan 29 1.1: (p.07):  12, 26, 28;  
1.2: (p.16):  30, 32;  
1.3: (p.23):  14, 18, 20(see errata);  
1.4: (p.31):  8, 16, 24, 28;  
1.6: (p.42):  16, 22(a,c,e,f), 25, 26;